Solve j^620-1 - ScanMath

Question

Simplify the expression

20 j^{6} - 1

Evaluate

j^{6} \times 20 - 1

Solution

20 j^{6} - 1

Show Solution

j_{1} = - \frac{6 2 0 ^{5}}{20}, j_{2} = \frac{6 2 0 ^{5}}{20}

Alternative Form

j_{1} \approx - 0.606962, j_{2} \approx 0.606962

Evaluate

j^{6} \times 20 - 1

To find the roots of the expression,set the expression equal to 0

j^{6} \times 20 - 1 = 0

Use the commutative property to reorder the terms

20 j^{6} - 1 = 0

Move the constant to the right-hand side and change its sign

20 j^{6} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

20 j^{6} = 1

Divide both sides

\frac{20 j ^{6}}{20} = \frac{1}{20}

Divide the numbers

j^{6} = \frac{1}{20}

Take the root of both sides of the equation and remember to use both positive and negative roots

j = \pm 6 \frac{1}{20}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{20}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{6 1}{6 20}

Simplify the radical expression

\frac{1}{6 20}

Multiply by the Conjugate

\frac{6 2 0 ^{5}}{6 20 \times 6 2 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

620 \times 6 2 0^{5}

The product of roots with the same index is equal to the root of the product

6 20 \times 2 0^{5}

Calculate the product

6 2 0^{6}

Reduce the index of the radical and exponent with 6

20

\frac{6 2 0 ^{5}}{20}

j = \pm \frac{6 2 0 ^{5}}{20}

Separate the equation into 2 possible cases

j = \frac{6 2 0 ^{5}}{20} j = - \frac{6 2 0 ^{5}}{20}

Solution

j_{1} = - \frac{6 2 0 ^{5}}{20}, j_{2} = \frac{6 2 0 ^{5}}{20}

Alternative Form

j_{1} \approx - 0.606962, j_{2} \approx 0.606962

Show Solution